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x varies inversely as y, when x = 15 then y = 10, if x = 20, then y = ?

1 Answer

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Best answer

Given that

x ∝ (1/√y)

x = k × (1/√y)

where, k is the constant of variation. 

∴ x × y = k …(i) 

When x = 15, y = 10 

∴ Substituting, x = 15 and y = 10 in (i), we get 

x × y = k

∴ 15 × 10 = k 

∴ k = 150 

Substituting, k = 150 in (i), we get 

x × y = k 

∴ x × y = 150 …(ii) 

This is the equation of variation.

When x = 20, y = ? 

∴ substituting x = 20 in (ii), we get x × y = 150 

∴ 20 × y = 150 

∴ y = 150/20

∴ y = 7.5

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